这虽然是普化考题 不过PO在这里应该比较好吧XDDD Consider the 1D problem where the two electrons are in an infinite potential well 0≦x≦L. (a) Suppose that one electron is in the orbital Ψ1(x) = √(2/L)sin(πx/L), and another one is in the orbital Ψ3(x) = √(2/L)sin(3πx/L).Write down the two states with the correct exchange symmetry where the two electrons have the opposite ms. (b) What are the probability densites for these two states where the two electrons happen to be at the same point x = L/2？ 我的想法是 因为有anti-symmetry 所以 Ψ(+,-)可以等於Ψ1(x)Ψ3(y)+Ψ1(y)Ψ3(x)= √(2/L)sin(πx/L)√(2/L)sin(3πy/L)+√(2/L)sin(πy/L)√(2/L)sin(3πx/L) 请问以上是对的吗?? 依此方法应该可以凑出另一解吧?? 第二题是x=y=L/2带入再平方对吗?? 谢谢各位回答 --

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